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Simplifying x + -5 + 3(5x + 2) = -2(x + 7) Reorder the terms: x + -5 + 3(2 + 5x) = -2(x + 7) x + -5 + (2 * 3 + 5x * 3) = -2(x + 7) x + -5 + (6 + 15x) = -2(x + 7) Reorder the terms: -5 + 6 + x + 15x = -2(x + 7) Combine like terms: -5 + 6 = 1 1 + x + 15x = -2(x + 7) Combine like terms: x + 15x = 16x 1 + 16x = -2(x + 7) Reorder the terms: 1 + 16x = -2(7 + x) 1 + 16x = (7 * -2 + x * -2) 1 + 16x = (-14 + -2x) Solving 1 + 16x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 16x + 2x = -14 + -2x + 2x Combine like terms: 16x + 2x = 18x 1 + 18x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 18x = -14 + 0 1 + 18x = -14 Add '-1' to each side of the equation. 1 + -1 + 18x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 18x = -14 + -1 18x = -14 + -1 Combine like terms: -14 + -1 = -15 18x = -15 Divide each side by '18'. x = -0.8333333333 Simplifying x = -0.8333333333
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